Question

4) Find the degree of the polynomial
(x²-x+3)(x² + 5x + 6)

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Book Back answer is = 4


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Answer 1

Answer:

degree = 4

Step-by-step explanation:

if you will add all the powers than it will be 4

Answer 2

Step-by-step explanation:

Given two polynomials are quadratic polynomials

so their degree is 2 each

when we multiply them then their degree

is 2+2=4

Check:-

(x²-x+3)(x² + 5x + 6)

=>(x²)(x² + 5x + 6)+(-x)(x² + 5x + 6)+3(x² + 5x + 6)

=>x^4+5x^3+6x^2-x^3-5x^2-6x+3x^2+15x+18

=> x^4+4x^3+4x^2+9x+18

The highest power of all powers of variables in the polynomial is 4

the degree =4

Degree of the polynomial:-

The highest of all the power of all the variables present in the given polynomial is the degree of the given polynomial.